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5170729851 = 34725971311
BaseRepresentation
bin1001101000011001…
…10001001101111011
3111100100122021220000
410310030301031323
541042201323401
62213030404043
7242064323100
oct46414611573
914310567800
105170729851
112213818961
121003800623
13645338181
14370a24aa7
15203e2d186
hex13433137b

5170729851 has 120 divisors (see below), whose sum is σ = 9296052480. Its totient is φ = 2854504800.

The previous prime is 5170729831. The next prime is 5170729859. The reversal of 5170729851 is 1589270715.

It is not a de Polignac number, because 5170729851 - 29 = 5170729339 is a prime.

It is a super-3 number, since 3×51707298513 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5170729797 and 5170729806.

It is not an unprimeable number, because it can be changed into a prime (5170729859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16625986 + ... + 16626296.

It is an arithmetic number, because the mean of its divisors is an integer number (77467104).

Almost surely, 25170729851 is an apocalyptic number.

5170729851 is a deficient number, since it is larger than the sum of its proper divisors (4125322629).

5170729851 is a wasteful number, since it uses less digits than its factorization.

5170729851 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The square root of 5170729851 is about 71907.7871374165. The cubic root of 5170729851 is about 1729.2214580808.

The spelling of 5170729851 in words is "five billion, one hundred seventy million, seven hundred twenty-nine thousand, eight hundred fifty-one".

Divisors: 1 3 7 9 21 27 49 59 63 71 81 147 177 189 213 311 413 441 497 531 567 639 933 1239 1323 1491 1593 1917 2177 2799 2891 3479 3717 3969 4189 4473 4779 5751 6531 8397 8673 10437 11151 12567 13419 15239 18349 19593 22081 25191 26019 29323 31311 33453 37701 40257 45717 55047 58779 66243 78057 87969 93933 113103 128443 137151 154567 165141 176337 198729 205261 234171 263907 281799 339309 385329 411453 463701 495423 596187 615783 791721 899101 1081969 1155987 1234359 1302779 1391103 1486269 1788561 1847349 2375163 2697303 3245907 3467961 3908337 4173309 5542047 8091909 9119453 9737721 10403883 11725011 12519927 16626141 24275727 27358359 29213163 35175033 63836171 72827181 82075077 87639489 105525099 191508513 246225231 574525539 738675693 1723576617 5170729851